Question

Evaluate: $\sqrt{(5+2\frac{21}{25})\times \frac{0.169}{1.6}}$

Answer 1

$\sqrt{(5+2\frac{21}{25})\times \frac{0.169}{1.6}}$

$=\sqrt{\frac{196}{25}\times \frac{169}{1600}}$

$=\sqrt{\frac{14\times 14}{5\times 5}\times \frac{13\times 13}{40\times 40}}$

$=\frac{14\times 13}{5\times 40}=\frac{7\times 13}{5\times 20}=\frac{91}{100}=0.91$